{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "24ba1978",
   "metadata": {},
   "source": [
    "# **<font size=4 color=#BB3D00 face=微软雅黑>常见的非周期性波形</font>**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ba81375",
   "metadata": {},
   "source": [
    "## <font size=3  face=微软雅黑>**※Matlab案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2189493c",
   "metadata": {},
   "source": [
    "网址：https://ww2.mathworks.cn/help/signal/gs/common-aperiodic-waveforms.html   \n",
    "描述：本案例由2个示例构成：   \n",
    "### - <font size=3 color=DarkOrChid>示例1：生成线性、对数或二次扫频正弦信号</font>\n",
    "### - <font size=3 color=DarkOrChid>示例2：使用指定时间、中心频率和小数带宽生成高斯调制正弦脉冲</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd874be3",
   "metadata": {},
   "source": [
    "## <font size=3 face=微软雅黑>**※Python案例**</font> "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7dd8b1b6",
   "metadata": {},
   "source": [
    "针对以上案例，采用Python语言实现。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ccc5d95e",
   "metadata": {},
   "source": [
    "### - <font size=3 color=DarkOrChid>示例1：生成线性、对数或二次扫频正弦信号</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fb0cb3ce",
   "metadata": {},
   "source": [
    "计算采样率为 1 kHz，从 DC 开始，总长 2 秒并在 1 秒处瞬时频率为 150 Hz 的线性 chirp 信号。绘制 chirp 的频谱图。指定相邻窗段之间的重叠为 90%。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "id": "69faf361",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 160,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.signal import chirp\n",
    "from scipy import signal\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import scipy\n",
    "\n",
    "t = np.arange(0, 2, 1/1000)\n",
    "y = chirp(t, f0=0, f1=150, t1=1)\n",
    "fig,ax = plt.subplots()\n",
    "Pxx, freqs, bins, im = ax.specgram(y,noverlap=250,NFFT=256,Fs=1000,cmap='plasma')\n",
    "cax = ax.imshow(10*np.log10(Pxx), cmap='plasma',aspect='auto')\n",
    "fig.colorbar(cax)\n",
    "ax = plt.gca()                                 \n",
    "ax.xaxis.set_ticks_position('bottom')  \n",
    "ax.invert_yaxis()\n",
    "plt.xlabel('Time(ms)')\n",
    "plt.ylabel('Frequency(Hz)')\n",
    "ax2 = ax.twinx()\n",
    "ax2.set_ylabel('Power/frequency(dB/Hz)',labelpad=70)\n",
    "ax2.set_yticks([])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1024ca0d",
   "metadata": {},
   "source": [
    "### - <font size=3 color=DarkOrChid>示例2：使用指定时间、中心频率和小数带宽生成高斯调制正弦脉冲</font>"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00a2059c",
   "metadata": {},
   "source": [
    "使用 signal.gausspulse 绘制带宽为 60%、采样率为 1 MHz 的 50 kHz 高斯 RF 脉冲。当包络比峰值低 40 dB 时，截断脉冲。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "id": "0ce5c800",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1b6bfbb3f40>]"
      ]
     },
     "execution_count": 161,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "tc = signal.gausspulse('cutoff',fc=50e3,bw=0.6,bwr=-6,tpr=-40)\n",
    "t = np.arange(-tc, tc, 1e-6)\n",
    "yi = signal.gausspulse(t,50e3,0.6)\n",
    "plt.plot(t,yi)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
